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Finding the Fourth Proportional to 6,916.35, 10,364 and 5,068.69

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Solution

The fourth proportional to 6,916.35, 10,364 and 5,068.69 is: 7,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.35 : 10,364 = 5,068.69 : x
  2. Step 2: Convert to fraction form
    6,916.35/10,364 = 5,068.69/x
  3. Step 3: Cross multiply
    6,916.35x = 10,364 × 5,068.69
  4. Step 4: Simplify right side
    6,916.35x = 52,531,903.16
  5. Step 5: Solve for x
    x = 52,531,903.16/6,916.35
  6. Step 6: Final answer
    x = 7,595.32

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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.