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Finding the Fourth Proportional to 11,646.81, 16,070.67 and 6,870.78

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Solution

The fourth proportional to 11,646.81, 16,070.67 and 6,870.78 is: 9,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.81 : 16,070.67 = 6,870.78 : x
  2. Step 2: Convert to fraction form
    11,646.81/16,070.67 = 6,870.78/x
  3. Step 3: Cross multiply
    11,646.81x = 16,070.67 × 6,870.78
  4. Step 4: Simplify right side
    11,646.81x = 110,418,038.02
  5. Step 5: Solve for x
    x = 110,418,038.02/11,646.81
  6. Step 6: Final answer
    x = 9,480.54

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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.