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Finding the Fourth Proportional to 7,002.16, 10,510.08 and 5,458.96

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Solution

The fourth proportional to 7,002.16, 10,510.08 and 5,458.96 is: 8,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.16 : 10,510.08 = 5,458.96 : x
  2. Step 2: Convert to fraction form
    7,002.16/10,510.08 = 5,458.96/x
  3. Step 3: Cross multiply
    7,002.16x = 10,510.08 × 5,458.96
  4. Step 4: Simplify right side
    7,002.16x = 57,374,106.32
  5. Step 5: Solve for x
    x = 57,374,106.32/7,002.16
  6. Step 6: Final answer
    x = 8,193.77

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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.