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Finding the Fourth Proportional to 10,307.70, 15,465.60 and 4,066.65

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Solution

The fourth proportional to 10,307.70, 15,465.60 and 4,066.65 is: 6,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.70 : 15,465.60 = 4,066.65 : x
  2. Step 2: Convert to fraction form
    10,307.70/15,465.60 = 4,066.65/x
  3. Step 3: Cross multiply
    10,307.70x = 15,465.60 × 4,066.65
  4. Step 4: Simplify right side
    10,307.70x = 62,893,182.24
  5. Step 5: Solve for x
    x = 62,893,182.24/10,307.70
  6. Step 6: Final answer
    x = 6,101.57

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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.