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Finding the Fourth Proportional to 8,533.02, 12,804.33 and 4,637.70

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Solution

The fourth proportional to 8,533.02, 12,804.33 and 4,637.70 is: 6,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.02 : 12,804.33 = 4,637.70 : x
  2. Step 2: Convert to fraction form
    8,533.02/12,804.33 = 4,637.70/x
  3. Step 3: Cross multiply
    8,533.02x = 12,804.33 × 4,637.70
  4. Step 4: Simplify right side
    8,533.02x = 59,382,641.24
  5. Step 5: Solve for x
    x = 59,382,641.24/8,533.02
  6. Step 6: Final answer
    x = 6,959.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.