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Finding the Fourth Proportional to 10,501.46, 14,491.88 and 5,785.64

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Solution

The fourth proportional to 10,501.46, 14,491.88 and 5,785.64 is: 7,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.46 : 14,491.88 = 5,785.64 : x
  2. Step 2: Convert to fraction form
    10,501.46/14,491.88 = 5,785.64/x
  3. Step 3: Cross multiply
    10,501.46x = 14,491.88 × 5,785.64
  4. Step 4: Simplify right side
    10,501.46x = 83,844,800.60
  5. Step 5: Solve for x
    x = 83,844,800.60/10,501.46
  6. Step 6: Final answer
    x = 7,984.11

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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.