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Finding the Fourth Proportional to 10,582.51, 14,603.90 and 5,802.53

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Solution

The fourth proportional to 10,582.51, 14,603.90 and 5,802.53 is: 8,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.51 : 14,603.90 = 5,802.53 : x
  2. Step 2: Convert to fraction form
    10,582.51/14,603.90 = 5,802.53/x
  3. Step 3: Cross multiply
    10,582.51x = 14,603.90 × 5,802.53
  4. Step 4: Simplify right side
    10,582.51x = 84,739,555.87
  5. Step 5: Solve for x
    x = 84,739,555.87/10,582.51
  6. Step 6: Final answer
    x = 8,007.51

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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.