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Finding the Fourth Proportional to 10,541.57, 14,547.66 and 5,826.16

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Solution

The fourth proportional to 10,541.57, 14,547.66 and 5,826.16 is: 8,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.57 : 14,547.66 = 5,826.16 : x
  2. Step 2: Convert to fraction form
    10,541.57/14,547.66 = 5,826.16/x
  3. Step 3: Cross multiply
    10,541.57x = 14,547.66 × 5,826.16
  4. Step 4: Simplify right side
    10,541.57x = 84,756,994.79
  5. Step 5: Solve for x
    x = 84,756,994.79/10,541.57
  6. Step 6: Final answer
    x = 8,040.26

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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.