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Finding the Fourth Proportional to 6,610.38, 9,925.02 and 5,798.46

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Solution

The fourth proportional to 6,610.38, 9,925.02 and 5,798.46 is: 8,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.38 : 9,925.02 = 5,798.46 : x
  2. Step 2: Convert to fraction form
    6,610.38/9,925.02 = 5,798.46/x
  3. Step 3: Cross multiply
    6,610.38x = 9,925.02 × 5,798.46
  4. Step 4: Simplify right side
    6,610.38x = 57,549,831.47
  5. Step 5: Solve for x
    x = 57,549,831.47/6,610.38
  6. Step 6: Final answer
    x = 8,705.98

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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.