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Finding the Fourth Proportional to 10,770.84, 14,854.60 and 7,419.08

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Solution

The fourth proportional to 10,770.84, 14,854.60 and 7,419.08 is: 10,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.84 : 14,854.60 = 7,419.08 : x
  2. Step 2: Convert to fraction form
    10,770.84/14,854.60 = 7,419.08/x
  3. Step 3: Cross multiply
    10,770.84x = 14,854.60 × 7,419.08
  4. Step 4: Simplify right side
    10,770.84x = 110,207,465.77
  5. Step 5: Solve for x
    x = 110,207,465.77/10,770.84
  6. Step 6: Final answer
    x = 10,232.02

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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.