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Finding the Fourth Proportional to 10,538.96, 14,543.76 and 5,823.20

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Solution

The fourth proportional to 10,538.96, 14,543.76 and 5,823.20 is: 8,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.96 : 14,543.76 = 5,823.20 : x
  2. Step 2: Convert to fraction form
    10,538.96/14,543.76 = 5,823.20/x
  3. Step 3: Cross multiply
    10,538.96x = 14,543.76 × 5,823.20
  4. Step 4: Simplify right side
    10,538.96x = 84,691,223.23
  5. Step 5: Solve for x
    x = 84,691,223.23/10,538.96
  6. Step 6: Final answer
    x = 8,036.01

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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.