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Finding the Fourth Proportional to 10,357.30, 15,535.95 and 3,430.90

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Solution

The fourth proportional to 10,357.30, 15,535.95 and 3,430.90 is: 5,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.30 : 15,535.95 = 3,430.90 : x
  2. Step 2: Convert to fraction form
    10,357.30/15,535.95 = 3,430.90/x
  3. Step 3: Cross multiply
    10,357.30x = 15,535.95 × 3,430.90
  4. Step 4: Simplify right side
    10,357.30x = 53,302,290.86
  5. Step 5: Solve for x
    x = 53,302,290.86/10,357.30
  6. Step 6: Final answer
    x = 5,146.35

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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.