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Finding the Fourth Proportional to 10,368.63, 14,308.71 and 5,652.91

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Solution

The fourth proportional to 10,368.63, 14,308.71 and 5,652.91 is: 7,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.63 : 14,308.71 = 5,652.91 : x
  2. Step 2: Convert to fraction form
    10,368.63/14,308.71 = 5,652.91/x
  3. Step 3: Cross multiply
    10,368.63x = 14,308.71 × 5,652.91
  4. Step 4: Simplify right side
    10,368.63x = 80,885,849.85
  5. Step 5: Solve for x
    x = 80,885,849.85/10,368.63
  6. Step 6: Final answer
    x = 7,801.02

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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.