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Finding the Fourth Proportional to 7,429.76, 10,248.96 and 5,305.28

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Solution

The fourth proportional to 7,429.76, 10,248.96 and 5,305.28 is: 7,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.76 : 10,248.96 = 5,305.28 : x
  2. Step 2: Convert to fraction form
    7,429.76/10,248.96 = 5,305.28/x
  3. Step 3: Cross multiply
    7,429.76x = 10,248.96 × 5,305.28
  4. Step 4: Simplify right side
    7,429.76x = 54,373,602.51
  5. Step 5: Solve for x
    x = 54,373,602.51/7,429.76
  6. Step 6: Final answer
    x = 7,318.35

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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.