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Finding the Fourth Proportional to 7,970.51, 11,957.79 and 4,686.36

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Solution

The fourth proportional to 7,970.51, 11,957.79 and 4,686.36 is: 7,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.51 : 11,957.79 = 4,686.36 : x
  2. Step 2: Convert to fraction form
    7,970.51/11,957.79 = 4,686.36/x
  3. Step 3: Cross multiply
    7,970.51x = 11,957.79 × 4,686.36
  4. Step 4: Simplify right side
    7,970.51x = 56,038,508.74
  5. Step 5: Solve for x
    x = 56,038,508.74/7,970.51
  6. Step 6: Final answer
    x = 7,030.74

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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.