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Finding the Fourth Proportional to 7,772.63, 10,721.43 and 4,746.33

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Solution

The fourth proportional to 7,772.63, 10,721.43 and 4,746.33 is: 6,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.63 : 10,721.43 = 4,746.33 : x
  2. Step 2: Convert to fraction form
    7,772.63/10,721.43 = 4,746.33/x
  3. Step 3: Cross multiply
    7,772.63x = 10,721.43 × 4,746.33
  4. Step 4: Simplify right side
    7,772.63x = 50,887,444.85
  5. Step 5: Solve for x
    x = 50,887,444.85/7,772.63
  6. Step 6: Final answer
    x = 6,547.01

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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.