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Finding the Fourth Proportional to 7,877.25, 11,804.70 and 4,368.87

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Solution

The fourth proportional to 7,877.25, 11,804.70 and 4,368.87 is: 6,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.25 : 11,804.70 = 4,368.87 : x
  2. Step 2: Convert to fraction form
    7,877.25/11,804.70 = 4,368.87/x
  3. Step 3: Cross multiply
    7,877.25x = 11,804.70 × 4,368.87
  4. Step 4: Simplify right side
    7,877.25x = 51,573,199.69
  5. Step 5: Solve for x
    x = 51,573,199.69/7,877.25
  6. Step 6: Final answer
    x = 6,547.11

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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.