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Finding the Fourth Proportional to 11,417.20, 15,752.04 and 6,702.64

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Solution

The fourth proportional to 11,417.20, 15,752.04 and 6,702.64 is: 9,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.20 : 15,752.04 = 6,702.64 : x
  2. Step 2: Convert to fraction form
    11,417.20/15,752.04 = 6,702.64/x
  3. Step 3: Cross multiply
    11,417.20x = 15,752.04 × 6,702.64
  4. Step 4: Simplify right side
    11,417.20x = 105,580,253.39
  5. Step 5: Solve for x
    x = 105,580,253.39/11,417.20
  6. Step 6: Final answer
    x = 9,247.47

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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.