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Finding the Fourth Proportional to 11,384.08, 15,700.40 and 7,402.16

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Solution

The fourth proportional to 11,384.08, 15,700.40 and 7,402.16 is: 10,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.08 : 15,700.40 = 7,402.16 : x
  2. Step 2: Convert to fraction form
    11,384.08/15,700.40 = 7,402.16/x
  3. Step 3: Cross multiply
    11,384.08x = 15,700.40 × 7,402.16
  4. Step 4: Simplify right side
    11,384.08x = 116,216,872.86
  5. Step 5: Solve for x
    x = 116,216,872.86/11,384.08
  6. Step 6: Final answer
    x = 10,208.72

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