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Finding the Fourth Proportional to 7,294.07, 10,066.02 and 4,461.40

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Solution

The fourth proportional to 7,294.07, 10,066.02 and 4,461.40 is: 6,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.07 : 10,066.02 = 4,461.40 : x
  2. Step 2: Convert to fraction form
    7,294.07/10,066.02 = 4,461.40/x
  3. Step 3: Cross multiply
    7,294.07x = 10,066.02 × 4,461.40
  4. Step 4: Simplify right side
    7,294.07x = 44,908,468.99
  5. Step 5: Solve for x
    x = 44,908,468.99/7,294.07
  6. Step 6: Final answer
    x = 6,156.85

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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.