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Finding the Fourth Proportional to 10,064.84, 13,887.36 and 6,085.17

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Solution

The fourth proportional to 10,064.84, 13,887.36 and 6,085.17 is: 8,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.84 : 13,887.36 = 6,085.17 : x
  2. Step 2: Convert to fraction form
    10,064.84/13,887.36 = 6,085.17/x
  3. Step 3: Cross multiply
    10,064.84x = 13,887.36 × 6,085.17
  4. Step 4: Simplify right side
    10,064.84x = 84,506,946.45
  5. Step 5: Solve for x
    x = 84,506,946.45/10,064.84
  6. Step 6: Final answer
    x = 8,396.26

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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.