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Finding the Fourth Proportional to 10,358.87, 14,290.68 and 7,000.46

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Solution

The fourth proportional to 10,358.87, 14,290.68 and 7,000.46 is: 9,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.87 : 14,290.68 = 7,000.46 : x
  2. Step 2: Convert to fraction form
    10,358.87/14,290.68 = 7,000.46/x
  3. Step 3: Cross multiply
    10,358.87x = 14,290.68 × 7,000.46
  4. Step 4: Simplify right side
    10,358.87x = 100,041,262.26
  5. Step 5: Solve for x
    x = 100,041,262.26/10,358.87
  6. Step 6: Final answer
    x = 9,657.55

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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.