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Finding the Fourth Proportional to 7,298.30, 10,066.10 and 6,291.74

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Solution

The fourth proportional to 7,298.30, 10,066.10 and 6,291.74 is: 8,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.30 : 10,066.10 = 6,291.74 : x
  2. Step 2: Convert to fraction form
    7,298.30/10,066.10 = 6,291.74/x
  3. Step 3: Cross multiply
    7,298.30x = 10,066.10 × 6,291.74
  4. Step 4: Simplify right side
    7,298.30x = 63,333,284.01
  5. Step 5: Solve for x
    x = 63,333,284.01/7,298.30
  6. Step 6: Final answer
    x = 8,677.81

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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.