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Finding the Fourth Proportional to 7,102.08, 10,653.12 and 2,484

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Solution

The fourth proportional to 7,102.08, 10,653.12 and 2,484 is: 3,726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.08 : 10,653.12 = 2,484 : x
  2. Step 2: Convert to fraction form
    7,102.08/10,653.12 = 2,484/x
  3. Step 3: Cross multiply
    7,102.08x = 10,653.12 × 2,484
  4. Step 4: Simplify right side
    7,102.08x = 26,462,350.08
  5. Step 5: Solve for x
    x = 26,462,350.08/7,102.08
  6. Step 6: Final answer
    x = 3,726.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.