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Finding the Fourth Proportional to 10,574.66, 15,856.81 and 4,332.98

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Solution

The fourth proportional to 10,574.66, 15,856.81 and 4,332.98 is: 6,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.66 : 15,856.81 = 4,332.98 : x
  2. Step 2: Convert to fraction form
    10,574.66/15,856.81 = 4,332.98/x
  3. Step 3: Cross multiply
    10,574.66x = 15,856.81 × 4,332.98
  4. Step 4: Simplify right side
    10,574.66x = 68,707,209.94
  5. Step 5: Solve for x
    x = 68,707,209.94/10,574.66
  6. Step 6: Final answer
    x = 6,497.35

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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.