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Finding the Fourth Proportional to 7,737.16, 10,678.14 and 4,905.40

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Solution

The fourth proportional to 7,737.16, 10,678.14 and 4,905.40 is: 6,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.16 : 10,678.14 = 4,905.40 : x
  2. Step 2: Convert to fraction form
    7,737.16/10,678.14 = 4,905.40/x
  3. Step 3: Cross multiply
    7,737.16x = 10,678.14 × 4,905.40
  4. Step 4: Simplify right side
    7,737.16x = 52,380,547.96
  5. Step 5: Solve for x
    x = 52,380,547.96/7,737.16
  6. Step 6: Final answer
    x = 6,770.00

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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.