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Finding the Fourth Proportional to 10,502.04, 15,695.04 and 9,895.08

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Solution

The fourth proportional to 10,502.04, 15,695.04 and 9,895.08 is: 14,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.04 : 15,695.04 = 9,895.08 : x
  2. Step 2: Convert to fraction form
    10,502.04/15,695.04 = 9,895.08/x
  3. Step 3: Cross multiply
    10,502.04x = 15,695.04 × 9,895.08
  4. Step 4: Simplify right side
    10,502.04x = 155,303,676.40
  5. Step 5: Solve for x
    x = 155,303,676.40/10,502.04
  6. Step 6: Final answer
    x = 14,787.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.