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Finding the Fourth Proportional to 7,002.40, 10,500.72 and 6,714.40

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Solution

The fourth proportional to 7,002.40, 10,500.72 and 6,714.40 is: 10,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.40 : 10,500.72 = 6,714.40 : x
  2. Step 2: Convert to fraction form
    7,002.40/10,500.72 = 6,714.40/x
  3. Step 3: Cross multiply
    7,002.40x = 10,500.72 × 6,714.40
  4. Step 4: Simplify right side
    7,002.40x = 70,506,034.37
  5. Step 5: Solve for x
    x = 70,506,034.37/7,002.40
  6. Step 6: Final answer
    x = 10,068.84

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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.