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Finding the Fourth Proportional to 10,526.54, 14,526.62 and 5,810.82

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Solution

The fourth proportional to 10,526.54, 14,526.62 and 5,810.82 is: 8,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.54 : 14,526.62 = 5,810.82 : x
  2. Step 2: Convert to fraction form
    10,526.54/14,526.62 = 5,810.82/x
  3. Step 3: Cross multiply
    10,526.54x = 14,526.62 × 5,810.82
  4. Step 4: Simplify right side
    10,526.54x = 84,411,512.29
  5. Step 5: Solve for x
    x = 84,411,512.29/10,526.54
  6. Step 6: Final answer
    x = 8,018.93

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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.