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Finding the Fourth Proportional to 10,518.34, 14,515.62 and 5,802.93

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Solution

The fourth proportional to 10,518.34, 14,515.62 and 5,802.93 is: 8,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.34 : 14,515.62 = 5,802.93 : x
  2. Step 2: Convert to fraction form
    10,518.34/14,515.62 = 5,802.93/x
  3. Step 3: Cross multiply
    10,518.34x = 14,515.62 × 5,802.93
  4. Step 4: Simplify right side
    10,518.34x = 84,233,126.77
  5. Step 5: Solve for x
    x = 84,233,126.77/10,518.34
  6. Step 6: Final answer
    x = 8,008.21

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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.