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Finding the Fourth Proportional to 10,459.60, 15,696.66 and 4,613.02

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Solution

The fourth proportional to 10,459.60, 15,696.66 and 4,613.02 is: 6,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.60 : 15,696.66 = 4,613.02 : x
  2. Step 2: Convert to fraction form
    10,459.60/15,696.66 = 4,613.02/x
  3. Step 3: Cross multiply
    10,459.60x = 15,696.66 × 4,613.02
  4. Step 4: Simplify right side
    10,459.60x = 72,409,006.51
  5. Step 5: Solve for x
    x = 72,409,006.51/10,459.60
  6. Step 6: Final answer
    x = 6,922.73

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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.