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Finding the Fourth Proportional to 10,574.02, 14,592.08 and 5,858.29

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Solution

The fourth proportional to 10,574.02, 14,592.08 and 5,858.29 is: 8,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.02 : 14,592.08 = 5,858.29 : x
  2. Step 2: Convert to fraction form
    10,574.02/14,592.08 = 5,858.29/x
  3. Step 3: Cross multiply
    10,574.02x = 14,592.08 × 5,858.29
  4. Step 4: Simplify right side
    10,574.02x = 85,484,614.51
  5. Step 5: Solve for x
    x = 85,484,614.51/10,574.02
  6. Step 6: Final answer
    x = 8,084.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.