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Finding the Fourth Proportional to 10,214.96, 14,094.94 and 6,024.04

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Solution

The fourth proportional to 10,214.96, 14,094.94 and 6,024.04 is: 8,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.96 : 14,094.94 = 6,024.04 : x
  2. Step 2: Convert to fraction form
    10,214.96/14,094.94 = 6,024.04/x
  3. Step 3: Cross multiply
    10,214.96x = 14,094.94 × 6,024.04
  4. Step 4: Simplify right side
    10,214.96x = 84,908,482.36
  5. Step 5: Solve for x
    x = 84,908,482.36/10,214.96
  6. Step 6: Final answer
    x = 8,312.17

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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.