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Finding the Fourth Proportional to 10,526.63, 14,526.74 and 5,810.94

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Solution

The fourth proportional to 10,526.63, 14,526.74 and 5,810.94 is: 8,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.63 : 14,526.74 = 5,810.94 : x
  2. Step 2: Convert to fraction form
    10,526.63/14,526.74 = 5,810.94/x
  3. Step 3: Cross multiply
    10,526.63x = 14,526.74 × 5,810.94
  4. Step 4: Simplify right side
    10,526.63x = 84,414,029.06
  5. Step 5: Solve for x
    x = 84,414,029.06/10,526.63
  6. Step 6: Final answer
    x = 8,019.10

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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.