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Finding the Fourth Proportional to 10,523.46, 15,708.15 and 9,277.93

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Solution

The fourth proportional to 10,523.46, 15,708.15 and 9,277.93 is: 13,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.46 : 15,708.15 = 9,277.93 : x
  2. Step 2: Convert to fraction form
    10,523.46/15,708.15 = 9,277.93/x
  3. Step 3: Cross multiply
    10,523.46x = 15,708.15 × 9,277.93
  4. Step 4: Simplify right side
    10,523.46x = 145,739,116.13
  5. Step 5: Solve for x
    x = 145,739,116.13/10,523.46
  6. Step 6: Final answer
    x = 13,848.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.