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Finding the Fourth Proportional to 7,587.46, 10,466.98 and 5,070.19

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Solution

The fourth proportional to 7,587.46, 10,466.98 and 5,070.19 is: 6,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.46 : 10,466.98 = 5,070.19 : x
  2. Step 2: Convert to fraction form
    7,587.46/10,466.98 = 5,070.19/x
  3. Step 3: Cross multiply
    7,587.46x = 10,466.98 × 5,070.19
  4. Step 4: Simplify right side
    7,587.46x = 53,069,577.73
  5. Step 5: Solve for x
    x = 53,069,577.73/7,587.46
  6. Step 6: Final answer
    x = 6,994.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.