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Finding the Fourth Proportional to 11,502.58, 15,864.42 and 7,465

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Solution

The fourth proportional to 11,502.58, 15,864.42 and 7,465 is: 10,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.58 : 15,864.42 = 7,465 : x
  2. Step 2: Convert to fraction form
    11,502.58/15,864.42 = 7,465/x
  3. Step 3: Cross multiply
    11,502.58x = 15,864.42 × 7,465
  4. Step 4: Simplify right side
    11,502.58x = 118,427,895.30
  5. Step 5: Solve for x
    x = 118,427,895.30/11,502.58
  6. Step 6: Final answer
    x = 10,295.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.