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Finding the Fourth Proportional to 10,348.66, 14,281.14 and 5,632.93

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Solution

The fourth proportional to 10,348.66, 14,281.14 and 5,632.93 is: 7,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.66 : 14,281.14 = 5,632.93 : x
  2. Step 2: Convert to fraction form
    10,348.66/14,281.14 = 5,632.93/x
  3. Step 3: Cross multiply
    10,348.66x = 14,281.14 × 5,632.93
  4. Step 4: Simplify right side
    10,348.66x = 80,444,661.94
  5. Step 5: Solve for x
    x = 80,444,661.94/10,348.66
  6. Step 6: Final answer
    x = 7,773.44

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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.