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Finding the Fourth Proportional to 10,674.72, 14,726.88 and 7,132.32

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Solution

The fourth proportional to 10,674.72, 14,726.88 and 7,132.32 is: 9,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.72 : 14,726.88 = 7,132.32 : x
  2. Step 2: Convert to fraction form
    10,674.72/14,726.88 = 7,132.32/x
  3. Step 3: Cross multiply
    10,674.72x = 14,726.88 × 7,132.32
  4. Step 4: Simplify right side
    10,674.72x = 105,036,820.76
  5. Step 5: Solve for x
    x = 105,036,820.76/10,674.72
  6. Step 6: Final answer
    x = 9,839.77

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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.