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Finding the Fourth Proportional to 10,775.57, 14,870.13 and 6,059.86

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Solution

The fourth proportional to 10,775.57, 14,870.13 and 6,059.86 is: 8,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.57 : 14,870.13 = 6,059.86 : x
  2. Step 2: Convert to fraction form
    10,775.57/14,870.13 = 6,059.86/x
  3. Step 3: Cross multiply
    10,775.57x = 14,870.13 × 6,059.86
  4. Step 4: Simplify right side
    10,775.57x = 90,110,831.63
  5. Step 5: Solve for x
    x = 90,110,831.63/10,775.57
  6. Step 6: Final answer
    x = 8,362.51

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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.