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Finding the Fourth Proportional to 10,365.56, 15,534.42 and 5,678.52

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Solution

The fourth proportional to 10,365.56, 15,534.42 and 5,678.52 is: 8,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.56 : 15,534.42 = 5,678.52 : x
  2. Step 2: Convert to fraction form
    10,365.56/15,534.42 = 5,678.52/x
  3. Step 3: Cross multiply
    10,365.56x = 15,534.42 × 5,678.52
  4. Step 4: Simplify right side
    10,365.56x = 88,212,514.66
  5. Step 5: Solve for x
    x = 88,212,514.66/10,365.56
  6. Step 6: Final answer
    x = 8,510.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.