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Finding the Fourth Proportional to 10,390.88, 14,339.76 and 5,675.60

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Solution

The fourth proportional to 10,390.88, 14,339.76 and 5,675.60 is: 7,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.88 : 14,339.76 = 5,675.60 : x
  2. Step 2: Convert to fraction form
    10,390.88/14,339.76 = 5,675.60/x
  3. Step 3: Cross multiply
    10,390.88x = 14,339.76 × 5,675.60
  4. Step 4: Simplify right side
    10,390.88x = 81,386,741.86
  5. Step 5: Solve for x
    x = 81,386,741.86/10,390.88
  6. Step 6: Final answer
    x = 7,832.52

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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.