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Finding the Fourth Proportional to 10,263.01, 14,164.29 and 5,788.16

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Solution

The fourth proportional to 10,263.01, 14,164.29 and 5,788.16 is: 7,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.01 : 14,164.29 = 5,788.16 : x
  2. Step 2: Convert to fraction form
    10,263.01/14,164.29 = 5,788.16/x
  3. Step 3: Cross multiply
    10,263.01x = 14,164.29 × 5,788.16
  4. Step 4: Simplify right side
    10,263.01x = 81,985,176.81
  5. Step 5: Solve for x
    x = 81,985,176.81/10,263.01
  6. Step 6: Final answer
    x = 7,988.41

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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.