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Finding the Fourth Proportional to 10,779, 14,870.12 and 7,790.10

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Solution

The fourth proportional to 10,779, 14,870.12 and 7,790.10 is: 10,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779 : 14,870.12 = 7,790.10 : x
  2. Step 2: Convert to fraction form
    10,779/14,870.12 = 7,790.10/x
  3. Step 3: Cross multiply
    10,779x = 14,870.12 × 7,790.10
  4. Step 4: Simplify right side
    10,779x = 115,839,721.81
  5. Step 5: Solve for x
    x = 115,839,721.81/10,779
  6. Step 6: Final answer
    x = 10,746.80

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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.